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Simplifying -4(b + 4) + 5(2b + -4) = 5b + -8b Reorder the terms: -4(4 + b) + 5(2b + -4) = 5b + -8b (4 * -4 + b * -4) + 5(2b + -4) = 5b + -8b (-16 + -4b) + 5(2b + -4) = 5b + -8b Reorder the terms: -16 + -4b + 5(-4 + 2b) = 5b + -8b -16 + -4b + (-4 * 5 + 2b * 5) = 5b + -8b -16 + -4b + (-20 + 10b) = 5b + -8b Reorder the terms: -16 + -20 + -4b + 10b = 5b + -8b Combine like terms: -16 + -20 = -36 -36 + -4b + 10b = 5b + -8b Combine like terms: -4b + 10b = 6b -36 + 6b = 5b + -8b Combine like terms: 5b + -8b = -3b -36 + 6b = -3b Solving -36 + 6b = -3b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '3b' to each side of the equation. -36 + 6b + 3b = -3b + 3b Combine like terms: 6b + 3b = 9b -36 + 9b = -3b + 3b Combine like terms: -3b + 3b = 0 -36 + 9b = 0 Add '36' to each side of the equation. -36 + 36 + 9b = 0 + 36 Combine like terms: -36 + 36 = 0 0 + 9b = 0 + 36 9b = 0 + 36 Combine like terms: 0 + 36 = 36 9b = 36 Divide each side by '9'. b = 4 Simplifying b = 4
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